Polar Form: r(cos θ + i sin θ), Multiplying Moduli and Adding Angles
This lesson is part of the course
In this lesson
You turn two numbers given as modulus and angle into rectangular parts, multiply them with the polar rule, and confirm that the rectangular rule from lesson 2 gives the same product.
Buy the course once for $9.99 to unlock every lesson and lab, the final exam and the certificate – lifetime access, no subscription.
Lessons in this course
- The Complex Plane: Real & Imaginary Columns, Quadrants and Conjugates Locked
- Complex Arithmetic: Sums, Products (ac − bd, ad + bc) and Division by the Conjugate Locked
- Modulus & Argument: Distances, ATAN with a Quadrant Correction, Degrees vs Radians Locked
- Polar Form: r(cos θ + i sin θ), Multiplying Moduli and Adding Angles Locked
- Powers & Roots: De Moivre's Rule, n-th Roots and the Roots of Unity Locked
- Rotations & Scaling: Multiplying a Shape by a Complex Number Locked
- Quadratic Equations: Negative Discriminants, Complex Root Pairs and Checking by Substitution Locked
- AC Phasors: Impedance R + jX in Series and Parallel, Current Magnitude and Phase Angle Locked